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There are several places in the Providence Place mall. My kids liked Dave and Buster's for food and arcade. You can look them up at Daveandbusters.com. There's also a Cheesecake Factory & Johnny Rocket's which teens might enjoy.

Those are all chain restaurants originating in different parts of the country. For a real taste of Providence, head up to Federal Hill (Providence's "Little Italy") and check out the menus at all the restaurants on Atwells Avenue. You'll find a broad range, from "pricey" to cheap but good.